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heavy fighting will be up there in Tennessee, where Bragg's army is.”

“Do you know if your uncle, Colonel Kenton, is in Vicksburg?”

“I don't think so. In fact, I'm sure he isn't. His regiment is with Bragg. Well, George, what does your algebra tell us?”

Warner had taken out his little volume again and was studying it intently. But he raised his head long enough to reply.

“I have just achieved the solution of a very important mathematical problem,” he answered in precise tones. “An army of about thirty-five thousand men occupies a town located on a river. It is besieged by another army of about seventy-five thousand men flushed with victory. The besiegers occupy the river with a strong fleet. They are also led by a general who has shown skill and extraordinary tenacity, while the commander of the besieged has not shown much of either quality and must feel great discouragement.”

“But you're only stating the side of the besieged.”

“Don't interrupt. It's impolite. I mean to be thoroughly fair. Now come the factors favoring the besieged. The assailing army, despite its superior numbers, is far in the enemy's country. It may be attacked at any time by another army outside, small, but led by a very able general. Now, you have both sides presented to you, but I have already arrived at the determining factor. What would you say it is, Dick?”

“I don't know.”

“You haven't used your reasoning powers. Remember that the man who not merely thinks, but who thinks hard and continuously always wins. It's very simple. The answer is in four letters, f-o-o-d, food. As we know positively, Pemberton was able to provision Vicksburg for five or six weeks. We can't break in and he can't break out. When his food is exhausted, as it soon will be, he'll have to give up. The siege of Vicksburg is over. I know everything, except the exact date.”

Dick was inclined to believe that Warner was right, but he forgot about his prediction, because a mail came down the river that afternoon, and he received a letter from his mother, his beautiful young mother, who often seemed just like an elder sister.

She was in Pendleton, she wrote, staying comfortably in their home. The town was occupied by three companies of veteran Union troops who behaved well. They were always glad to have a garrison of good soldiers whether Federal or Confederate—sometimes it was one and sometimes the other. But she thought the present Union force would remain quite a while, as she did not look for the reappearance of the Southern army in Kentucky. But if the town were left without troops she would go back to her relatives in the Bluegrass, as Bill Skelly's band to the eastward in the mountains was raiding and plundering and had become a great menace. Guerillas were increasing in numbers in those doubtful regions.

“The regular troops will have to deal with those fellows later on,” said Dick.

“Dr. Russell has had a letter from Harry Kenton,” continued Mrs. Mason. “It was written from some point near the Pennsylvania line, and, while Harry did not say so in his letter, I know that General Lee is expecting a great victory in the North. Harry was not hurt at Chancellorsville, but he says he does not see how he escaped, the fire of the cannon and rifles being more awful than any that he had ever seen before. He was present when General Jackson was mortally wounded, and he seems to have been deeply affected by it. He writes that the Confederacy could better have lost a hundred thousand men.”

There was more in the letter, but it was strictly personal to Dick, and it closed with her heartfelt prayer that God, who had led him safely so far, would lead him safely through all.

After reading it several times he put it in a hidden pocket. Soldiers did not receive many letters and they always treasured them. Ah, his dear, beautiful young mother! How could anyone ever harm her! Yet the thought of Skelly and his outlaws made him uneasy. He hoped that the Union garrison would remain in Pendleton permanently.

His mind was soon compelled to turn back to the siege. They were digging trenches and creeping closer and closer. Warner had made no mistake in his mathematics. The army and the people in Vicksburg had begun to suffer from a lack of food. They were down to half rations. They had neither tea nor coffee, and medicines were exhausted. Many and many a time they looked forth from their hills and prayed for Johnston, but he could not come. Always the Union flag floated before them, and the ring of steel so strong and broad was contracting inch by inch.

The Northern engineers ran mines under the Confederate works. They used every device of ingenious minds to push the siege. Spies brought word that all food would soon be gone in Vicksburg, and Grant, grim of purpose, took another hitch in the steel belt about the hopeless town. The hostile earthworks and trenches were now so near that the men could hear one another talking. Sometimes in a lull of the firing they would come out and exchange tobacco or news. It was impossible for the officers to prevent it, and they really did not seek to do so, as the men fought just as well when they returned to their works.

June now drew to a close and the great heats of July were at hand. Dick was convinced that the defense of Vicksburg was drawing to a like close. They had proof that some of the irregulars in Vicksburg had escaped through the lines and he was convinced that Slade would be among them. They were the rats and Vicksburg was the sinking ship.

They heard that Johnston had gathered together twenty-five thousand men and was at last marching to the relief of the town. Dick believed that Grant must have laughed one of his grimmest laughs. They knew that Johnston's men were worn and half-starved, and had been harassed by other Union troops. Johnston was skillful, but he would only be a lean and hungry wolf attacking a grizzly bear. He was sure that all danger from him had passed.

Now, as they closed in the Northern guns increased their fire. It seemed to Dick that they could have blown away the whole plateau of Vicksburg by this time. The storm of shells raked the town, and he was glad that the people had been able to dig caves for refuge. Colonel Woodville must be doing some of his greatest swearing now. Dick thought of him with sympathy and friendliness.

“I don't think it can last much longer, Mr. Mason,” said Sergeant Daniel Whitley on the morning of the second of July. “Their guns don't answer ours often and it means that they're out of ammunition, or almost. Besides, you can stand shells and bullets easier than lack of food. 'Pears to me I can nearly feel 'em crumpling up before us.”

Trumpets blew the next morning. All the firing ceased suddenly and the three lads saw a Southern general with several officers of lower rank, riding forward under a white flag. It was Bowen, who came out to meet Grant.

Dick drew a deep, long breath. He knew that this was the end. So did his comrades. A cheer started and swept part of the way along the lines, but the officers quickly stopped it.

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